What is the Least Common Multiple of 95841 and 95850?
Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.
Least common multiple (LCM) of 95841 and 95850 is 1020706650.
LCM(95841,95850) = 1020706650
Least Common Multiple of 95841 and 95850 with GCF Formula
The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 95841 and 95850, than apply into the LCM equation.
GCF(95841,95850) = 9
LCM(95841,95850) = ( 95841 × 95850) / 9
LCM(95841,95850) = 9186359850 / 9
LCM(95841,95850) = 1020706650
Least Common Multiple (LCM) of 95841 and 95850 with Primes
Least common multiple can be found by multiplying the highest exponent prime factors of 95841 and 95850. First we will calculate the prime factors of 95841 and 95850.
Prime Factorization of 95841
Prime factors of 95841 are 3, 23, 463. Prime factorization of 95841 in exponential form is:
95841 = 32 × 231 × 4631
Prime Factorization of 95850
Prime factors of 95850 are 2, 3, 5, 71. Prime factorization of 95850 in exponential form is:
95850 = 21 × 33 × 52 × 711
Now multiplying the highest exponent prime factors to calculate the LCM of 95841 and 95850.
LCM(95841,95850) = 33 × 231 × 4631 × 21 × 52 × 711
LCM(95841,95850) = 1020706650
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